GCD of 500, 870, 92, 891 Calculator

Given Input numbers are 500, 870, 92, 891

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 500, 870, 92, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 870, 92, 891 is 1.

Therefore, GCD of numbers 500, 870, 92, 891 is 1

Given Input Data is 500, 870, 92, 891

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(500, 870) = 43500

GCD(500, 870) = ( 500 x 870 ) / 43500

GCD(500, 870) = 435000 / 43500

GCD(500, 870) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 92

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 92) = 460

GCD(10, 92) = ( 10 x 92 ) / 460

GCD(10, 92) = 920 / 460

GCD(10, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

GCD of 500, 870, 92, 891 is 1

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1. What is the GCD of 500, 870, 92, 891?

GCD of 500, 870, 92, 891 is 1

2. Where do I get the detailed procedure to find GCD of 500, 870, 92, 891?

You can find a detailed procedure to find GCD of 500, 870, 92, 891 on our page.

3. How to find GCD of 500, 870, 92, 891 on a calculator?

You can find the GCD of 500, 870, 92, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.